The number 59120
59120 is a composite number with 20 divisors. Its prime factorisation is × 5 × 739. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 739, 1478, 2956, 3695, 5912, 7390 … 59120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59120 is composite. Its prime factorisation is
- 3
The divisors add up to 137640; without 59120 itself that is 78520, so 59120 is abundant (78520 is more than 59120). Euler's totient φ(59120) = 23616 numbers up to 59120 share no factor with it.
- 4
The digits of 59120 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59120 = 2^{4} \times 5 \times 739 \]59120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 137640 |
| Euler totient φ(n) | 23616 |
| Square | 3495174400 |
| Cube | 206634710528000 |
| Square root | 243.146047 (= 4√3695) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 210 |
| Scientific notation | 5.912 × |
59120 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and twenty |
| Binary (base 2) | 1110011011110000 |
| Octal (base 8) | 163360 |
| Hexadecimal (base 16) | E6F0 |
| Base 3 | 10000002122 |
| As time | 59120 seconds = 16 h 25 min 20 s |
Is 59120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59120 ÷ 2 = 29560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59120 ÷ 4 = 14780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59120 ÷ 5 = 11824) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (59120 ÷ 8 = 7390) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59120 ÷ 10 = 5912) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59120 a prime number?
No. 59120 = × 5 × 739, so it is divisible by 2.
What are the factors of 59120?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 739, 1478, 2956, 3695, 5912, 7390, 11824, 14780, 29560, 59120.
What is 59120 in binary?
1110011011110000 (hexadecimal E6F0, octal 163360).
What is the square root of 59120?
About 243.1460, exactly 4√3695.
Is 59120 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 59120?
It is a composite number with 20 divisors.